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Finding the Fourth Proportional to 3,105.74, 4,658.48 and 765.64

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Solution

The fourth proportional to 3,105.74, 4,658.48 and 765.64 is: 1,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.74 : 4,658.48 = 765.64 : x
  2. Step 2: Convert to fraction form
    3,105.74/4,658.48 = 765.64/x
  3. Step 3: Cross multiply
    3,105.74x = 4,658.48 × 765.64
  4. Step 4: Simplify right side
    3,105.74x = 3,566,697.29
  5. Step 5: Solve for x
    x = 3,566,697.29/3,105.74
  6. Step 6: Final answer
    x = 1,148.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.